From a pack of 52 cards, all kings and queens are removed. The remaining cards are well shuffled and a card is drawn. What is the probability that it is a red jack?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → \(\frac{1}{22}\)
Probability is favourable outcomes ÷ total outcomes, and the total here is the pack that is left after the kings and queens are taken out.
Kings and queens removed: 4 + 4 = 8 cards, so 44 cards remain
The jacks are still in the pack; the red jacks are the jack of hearts and the jack of diamonds: 2 cards
Probability \(\displaystyle =\frac{2}{44}=\frac{1}{22}\)
Tip: When cards are removed, the total changes too. Dividing by 52 would give \(\frac{1}{26}\), Option (1).